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Separation in Point-Free Topology

Autoren: Picado, Jorge, Pultr, Ales

Vorschau
  • Concentrates on separation axioms in localic topology
  • Provides an in-depth discussion on axioms of Hausdorff's type
  • Written in a pleasant style
Weitere Vorteile

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eBook 93,08 €
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  • ISBN 978-3-030-53479-0
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Hardcover 117,69 €
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Über dieses Buch

This book is the first systematic treatment of this area so far scattered in a vast number of articles. As in classical topology, concrete problems require restricting the (generalized point-free) spaces by various conditions playing the roles of classical separation axioms. These are typically formulated in the language of points; but in the point-free context one has either suitable translations, parallels, or satisfactory replacements. The interrelations of separation type conditions, their merits, advantages and disadvantages, and consequences are discussed.

Highlights of the book include a treatment of the merits and consequences of subfitness, various approaches to the Hausdorff's axiom, and normality type axioms. Global treatment of the separation conditions put them in a new perspective, and, a.o., gave some of them unexpected importance. The text contains a lot of quite recent results; the reader will see the directions the area is taking, and may find inspiration for her/his further work.

The book will be of use for researchers already active in the area, but also for those interested in this growing field (sometimes even penetrating into some parts of theoretical computer science), for graduate and PhD students, and others. For the reader's convenience, the text is supplemented with an Appendix containing necessary background on posets, frames and locales.

Inhaltsverzeichnis (10 Kapitel)

Inhaltsverzeichnis (10 Kapitel)

Dieses Buch kaufen

eBook 93,08 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-030-53479-0
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF, EPUB
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 117,69 €
Preis für Deutschland (Brutto)
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Bibliografische Information

Bibliographic Information
Buchtitel
Separation in Point-Free Topology
Autoren
Copyright
2021
Verlag
Birkhäuser Basel
Copyright Inhaber
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-53479-0
DOI
10.1007/978-3-030-53479-0
Hardcover ISBN
978-3-030-53478-3
Auflage
1
Seitenzahl
XXI, 281
Anzahl der Bilder
39 schwarz-weiß Abbildungen, 1 Abbildungen in Farbe
Themen